Answer:
5x-4y+5=0.
Step-by-step explanation:
1) if the point A(-5;-5) and B(3;5), the formula is:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}[/tex]
2) according to the formula above:
[tex]\frac{x+5}{3+5} =\frac{y+5}{5+5}; \ = > \ \frac{x+5}{4}=\frac{y+5}{5};[/tex]
or 5x-4y+5=0.